During the early 1800s, two parties developed with different perspectives on government and the Constitution. The Democratic Republicans, led by Thomas Jefferson and James Madison, were always characterized by following the rigorous construction of the Constitution. The Federalists, led by Alexander Hamilton, were characterized by following the broad construction of the Constitution. The presidencies of Jefferson and Madison proved this characterization to be quite accurate. Although the Democratic Republicans and Federalists supported their ideas and views, they also did many things that contradicted them. The Democratic Republicans began by supporting their ideas thoroughly and confidently. In Jefferson's letter to Gideon Granger (Document A), Jefferson shows his ideas about how the Constitution should be interpreted and how they oppose the ideas of the Federalists. Jefferson also tells Granger that he does not agree with the Federalists' ideas and that this would "sink the state governments, consolidate them into one, and monarchies." He also believes in a weak central government, a democratic-republican idea, in which states are in control of everything domestic and that only the central government is responsible for foreign affairs. In Document B, Jefferson's letter to Samuel Miller, Jefferson states that the president has no authority over religious exercises. This was an exact belief of a Democrat-Republican. This document not only states that the central government should be weak, but also states the belief in a strict interpretation of the Constitution. Jefferson demonstrated his beliefs primarily through government. After being elected president, he began to "streamline" things, cutting taxes and the military, limiting government power, and eliminating federalist power. During Madison's tenure, he also somewhat stuck to his principles. In Document H, he expressed his thoughts on the Internal Improvements Bill by acknowledging the bill. Although he put aside some of his Republican ideals, he still vetoed the bill under a constitutional amendment. Overall, he remained true to his principles as a Democratic Republican. The longer Jefferson remained in office, the more Democratic Republicans began to go against their own principles. The acquisition of the Louisiana Territory, in 1803, was the most notable achievement of Jefferson's presidency, but it demonstrated the inconsistency between his actions and his beliefs. Jefferson realized that there was no time for rigorous constructivism due to the slow amendment process. This purchase violated his constitutional morality and his belief in a weak central government.